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数学在其漫长的发展过程中,不仅建立了严密的知识体系,而且形成了一整套行之有效的思想方法,每种数学思想都是对一类数学方法的概括,也是贯穿于该类数学方法中的基本精神,它制约着数学活动中主观意识的指向,对方法的取舍与组合具有规范和调节作用.中考压轴题蕴涵的数学思想方法最集中、涉及的知识点最多,也最能体现学生分析问题和解决问题的能力,因而备受广大师生关注.以下就2007年宜昌市中考数学压轴题予以分析.
In its long process of development, mathematics not only established a rigorous knowledge system, but also formed a set of effective thinking methods. Each mathematical idea is a generalization of a class of mathematical methods, and it also runs through this class of mathematical methods. In the basic spirit, it restricts the direction of subjective consciousness in mathematics activities, and has a normative and regulatory role in the selection and combination of methods. The mathematical ideas and methods contained in the final exam questions are the most concentrated, involve the most knowledge, and most reflect the students. The ability to analyze problems and solve problems has attracted the attention of teachers and students. The following analysis of the mathematical problems in the Yichang middle school entrance examination in 2007 was conducted.